224411462111808 has 336 divisors, whose sum is σ = 679684914155520. Its totient is φ = 70595644234752.

The previous prime is 224411462111803. The next prime is 224411462111819. The reversal of 224411462111808 is 808111264114422.

224411462111808 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 1 + 1 + 4 + 621 + 1 + 18 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (224411462111803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3011105841 + ... + 3011180367.

It is an arithmetic number, because the mean of its divisors is an integer number (2022871768320).

Almost surely, 2^{224411462111808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224411462111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339842457077760).

224411462111808 is an abundant number, since it is smaller than the sum of its proper divisors (455273452043712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224411462111808 is a wasteful number, since it uses less digits than its factorization.

224411462111808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75614 (or 75601 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 224411462111808 in words is "two hundred twenty-four trillion, four hundred eleven billion, four hundred sixty-two million, one hundred eleven thousand, eight hundred eight".